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Hatshy [7]
4 years ago
5

If the original quantity is 4 and the new quantity is 7​, what is the percent​ increase?

Mathematics
2 answers:
il63 [147K]4 years ago
8 0

Answer:

75% increase

Step-by-step explanation:

dmitriy555 [2]4 years ago
7 0
The increase is 3/4.
That is 75%
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Determine if the given function is a linear transformation. t(x1, x2, x3) = (−2x2, 6x3)
Zepler [3.9K]
T:\mathbb R^3\to\mathbb R^2 will be linear if for any \mathbf x,\mathbf y\in\mathbb R^3 and constants a,b\in\mathbb R, we have

T(a\mathbf x+b\mathbf y)=aT(\mathbf x)+bT(\mathbf y)

Let \mathbf x=(x_1,x_2,x_3) and \mathbf y=(y_1,y_2,y_3), and let a,b be any two scalars. Then

a\mathbf x+b\mathbf y=(ax_1+by_1,ax_2+by_2,ax_3+by_3)

By definition of T, we have

T(a\mathbf x+b\mathbf y)=(-2ax_2-2by_2,6ax_3+6by_3)
T(a\mathbf x+b\mathbf y)=(-2ax_2,6ax_3)+(-2by_2,6by_3)
T(a\mathbf x+b\mathbf y)=a(-2x_2,6x_3)+b(-2y_2,6y_3)
T(a\mathbf x+b\mathbf y)=aT(\mathbf x)+bT(\mathbf y)

Therefore T is a linear transformation.
5 0
3 years ago
Each day that a library book is kept past its due date, a $0.30 fee is charged at midnight. Which ordered pair is a viable solut
castortr0y [4]
Each day, 30 cents are added onto the fee.

-3 days would mean -3 * 30 cents on the fee, which is -90 cents, or -0.90.
and -2.5 charges of 30 cents would be -75 cents!
...but you can't have negative days or fees, so A and B are out of the question.

4.5 charges of 30 cents IS $1.35...
...but the library charges by day, of course.

8 charges of 30 cents would be $2.40, and both of these are realistic possible numbers.

8 0
4 years ago
Read 2 more answers
У – бх — 11<br> — 2x — Зу = -7
fiasKO [112]

Answer: -2y -8x = 4

Step-by-step explanation:

y - 6x - 11 - 2x - 3y = -7

y -3y -6x -2x = -7 +11

-2y -8x = 4

3 0
3 years ago
How is 0.025¯¯¯¯ written as a fraction in simplest form?
LUCKY_DIMON [66]

I am not sure if you wrote a repeating decimal with the line next to the 0.025 so comment if you need it. If it wasn't repeating it would be simply 1/40 if there is no repeating and you only want 0.025 is a fraction in simplest form.

8 0
4 years ago
If you flip a coin twice, what is the probability that you will get heads one time and tails one time?
Brilliant_brown [7]
The answer would be 1/2
7 0
4 years ago
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